On Wed, 18 Dec 2024 13:48:34 +0000, Paul B. Andersen wrote:
Den 17.12.2024 23:58, skrev rhertz:
Einstein wrote, in his 1911 paper:
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3. Time and the Velocity of Light in the Gravitational Field
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If the radiation emitted in the uniformly accelerated system K0 in S2
toward S1 had the frequency f2 relative to the clock at S2, then,
relative to S1, at its arrival at S1 it no longer has the frequency f2
relative to an identical clock at S1, but a greater frequency f1, such
that, to a first approximation
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(2) f1 = f2 (1 + gh/c²)
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(2') hᴾf1 = f2 (1 + gh/c²)
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(2'') E1(1 photon) - E2 (1 photon) = hᴾf2 gh/c²
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hᴾ: Planck's constant
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S2 is a point on the z axis at a distance h of point S1, located at the
z origin.
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Einstein described how a photon falling vertically from a height h,
under gravity acceleration g, gained energy gh/c². It meant that the
photon's frequency was blue-shifted while it fell due to gravity.
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By that epoch (1911), he kept talking about clocks as reference of time.
By today standards and the use of ANY atomic clock, the frequency of the
EM energy is what counts in his theory. It doesn't matter what kind of
EM clock is, as it ONLY counts cycles/sec of such EM energy, either at
9.6 Ghz for Cesium, 1.4 Ghz for Hydrogen maser or ANY derived frequency
that is obtained by digitally down scaling the frequency. The same
formula applies to 9.6 Ghz oscillation or a derived 1 Mhz signal. Clocks
just COUNT pulses.
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Forget the 1911 paper.
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Einstein's last word on the matter is GR.
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What GR predicts for the Pound - Rebka experiment:
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https://paulba.no/pdf/PoundRebka.pdf
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Let's count pulses.
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We have two equal, very precise atomic clocks.
These clocks are emitting the exact frequency f = 10 GHz.
We place one clock on the ground, and the other clock above
it in a tower with height h = 22.56 m.
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After one day the ground clock will show τ₁ = 86400 s
and it will have emitted N₁ = 0.864e15 cycles.
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The clock on the ground will have received:
N₂ = N₁⋅(1+g⋅h/c²) = N₁⋅(1+2.5e-15) = (0.864e15 + 2)
which means that that the clock in the tower will show:
τ₂ = 86400 s + 0.2 ns
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After one year τ₂ - τ₁ = 78.2 ns
Your comment is worthless, as you're ACCEPTING THAT EINSTEIN WAS RIGHT
IN 1911.
Then, your calculations based on the 1911 formula shows a parasitic
dependence on Einstein's words, without ANY SINGLE PROOF IN 113 YEARS.
Let me INSIST on Einstein's original hypothesis and further
calculations:
1) Einstein thought that light energy E had mass. For a single photon,
m = E/c² = hᴾf/c²
2) Einstein thought (and wrote exactly this) that such mass was subject
to
newtonian gravitational potential, when raised a height "h" from ground.
Therefore, such energy E (for a single photon) gained potential energy
when raised to height "h".
ΔE = hᴾf gh/c²
3) When such photon falls under the influence of gravitational
acceleration g,
such potential energy IS TRANSFERRED to its frequency, so it can verify
Planck.
Once the photon finish its fall, at ground level, the gravitational
potential HAS BEEN TRANSFERRED to the frequency of the photon, so it
verify Planck.
Therefore, at ground level, the photon's frequency blue-shifted so its
ground level frequency is
f(1 photon - ground level) = f(1 photon - at height h) (1 + gh/c²)
DO YOU UNDERSTAND HIS REASONING? YOU HAVE TO BE 100% RETARDED IF YOU
DON'T.
The COST of your stupid belief in Einstein's deranged mind is that you
HAVE TO ACCEPT THAT SUCH POTENTIAL ENERGY WAS MAGICALLY TRANSFERRED into
a higher frequency, according to Planck's E(1 photon) = hᴾf.
But such phenomenon is STRICTLY BASED ON THE CONSERVATION OF ENERGY.
What is not explained is: which is the physical mechanism behind
transformation of newtonian energy into electromagnetic energy, as the
photon is falling down.
It doesn't happen at once, as Einstein suggested, but it happens
CONTINUALLY while the photon is falling from the height "h", in a path
normal to the surface.
It starts with full newtonian potential gain at height h.
As the photon falls, the MAGIC TRANSFORMATION of newtonian potential to
electromagnetic energy happens CONTINUALLY.
at height = 0.9 h, 10% of the gav. potential mutated to EM energy of the
photon.
At height = 0.5 h, 50% of the gav. potential mutated to EM energy of the
photon
At height = 0.0 h, 100% of the gav. potential mutated to EM energy of
the photon
HOW AND WHY THIS TRANSFORMATION HAPPENS, AS RELATIVISTS THINK? IT'S PART
OF THE MYSTIQUE OF RELATIVITY AND THE FUCKING BRAINWASHING THAT, FOR
PEOPLE LIKE YOU, HAPPENED IN THE LAST 113 YEARS.
BUT YOU DON'T LIKE THE IMMEDIATE CONSEQUENCE: FOR RELATIVISTS, LIGHT HAS
MASS.
Then, you accept this to support such theory, or you call it off and
Δf/f = 0, which means that t' = t, in terms of gravitational time
dilation.
Now, show some FIRM EVIDENCE about this magic process or GTFO. And don't
use your lame papers, that age badly.